161561178001152 has 864 divisors, whose sum is σ = 503966771784000. Its totient is φ = 50992142745600.

The previous prime is 161561178001129. The next prime is 161561178001159. The reversal of 161561178001152 is 251100871165161.

161561178001152 is a `hidden beast` number, since 1 + 6 + 1 + 561 + 1 + 7 + 80 + 0 + 1 + 1 + 5 + 2 = 666.

161561178001152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×161561178001152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161561178001098 and 161561178001107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161561178001159) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283938801124 + ... + 283938801692.

It is an arithmetic number, because the mean of its divisors is an integer number (583294874750).

Almost surely, 2^{161561178001152} is an apocalyptic number.

161561178001152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161561178001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251983385892000).

161561178001152 is an abundant number, since it is smaller than the sum of its proper divisors (342405593782848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161561178001152 is an equidigital number, since it uses as much as digits as its factorization.

161561178001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 45.

The spelling of 161561178001152 in words is "one hundred sixty-one trillion, five hundred sixty-one billion, one hundred seventy-eight million, one thousand, one hundred fifty-two".